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Sur les sélections continues des collections d'arcs
Cauty, Robert
1999
Abstract
Let F be a lower semicontinuous multivalued mapping from a paracompact
space X into a metrisable space Y such that F(x) is an arc or a point
for every x in X. We prove that if the family $\left\{ F\left(x\right)/x\epsilon X\right\} $
is ELC$^{0}$, then F admits a continuous selection.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Robert Cauty, "Sur les sélections continues des collections d'arcs", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 135-142.
Languages
fr
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